Full Professor, Université de Lorraine (Nancy)

Email: antoine.lemenant AT univ-lorraine.fr

Home-page: https://antoine-lemenant.apps.math.cnrs.fr/

Available papers (42):

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• C. Labourie - A. Lemenant (J. Math. Pures Appl.)
  Uniform concentration property for Griffith almost-minimizers (2025)
• A. Lemenant - R. Mougenot (Preprint)
  Boundary regularity for the polyharmonic Dirichlet problem (2025)
• L. Lamberti - A. Lemenant (Preprint)
  Quantitative regularity properties for the optimal design problem (2025)
• M. Bonnivard - E. Bretin - A. Lemenant - E. Machefert (Preprint)
  Phase field approximation for Plateau’s problem: a curve geodesic distance penalty approach (2025)
• J. F. Grosjean - A. Lemenant - R. Mougenot (Preprint)
  Reilly inequality for varifolds (2025)
• M. Bonnivard - R. Ducasse - A. Lemenant - A. Zilio (Preprint)
  A field-road system with a rectifiable set (2024)
• A. Lemenant - M. R. Pakzad (Preprint)
  The biharmonic optimal support problem (2024)
• A. Henrot - A. Lemenant - Y. Privat (Preprint)
  Minimization of the first eigenvalue for the Lamé system (2024)
• A. Henrot - A. Lemenant - I. Lucardesi (Accepted Paper: Transactions of the American Mathematical Society)
  An isoperimetric problem with two distinct solutions (2023)
• L. Cavallina - K. Funano - A. Henrot - A. Lemenant - I. Lucardesi - S. Sakaguchi (Submitted Paper)
  Two extremum problems for Neumann eigenvalues (2023)
• J. F. Grosjean - A. Lemenant - R. Mougenot (Preprint)
  Stable domains for higher order elliptic operators (2023)
• C. Labourie - A. Lemenant (Arch. Ration. Mech. Anal.)
  Epsilon-Regularity for Griffith almost-minimizers in any dimension under a separating condition (2023)
• C. Labourie - A. Lemenant (Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.)
  Regularity improvement for the minimizers of the two-dimensional Griffith energy (2023)
• B. Bulanyi - A. Lemenant (Accepted Paper: ESAIM Control Optim. Calc. Var.)
  Regularity for the planar optimal $p$-compliance problem (2021)
• M. Bonnivard - E. Bretin - A. Lemenant (Accepted Paper: Mathematics of computation)
  Numerical approximation of the Steiner problem in dimension 2 and 3 (2020)
• J. F. Babadjian - F. Iurlano - A. Lemenant (Accepted Paper: J. Eur. Math. Soc.)
  Partial regularity for the crack set minimizing the two-dimensional Griffith energy (2019)
• P. Álvarez-Caudevilla - M. Bonnivard - A. Lemenant (preprint)
  Asymptotic limit of linear parabolic equations with spatio-temporal degenerated potentials (2018)
• E. Durand-Cartagena - A. Lemenant (Preprint: Proc. AMS)
  Self-contracted curves are gradient flows of convex functions (2018)
• A. Lemenant - H. Mikayelyan (Preprint)
  Stationarity of the crack-front for the Mumford-Shah problem in 3D (2017)
• A. Chambolle - J. Lamboley - A. Lemenant - E. Stepanov (SIAM J. Math. Anal.)
  Regularity for the optimal compliance problem with length penalization (2017)
• A. Lemenant (Preprint)
  Rectifiability of non Euclidean planar self-contracted curves (2016)
• M. Bonnivard - A. Lemenant - V. Millot (Preprint)
  On a phase field approximation of the planar Steiner problem: Existence, regularity, and asymptotic of minimizers (2016)
• P. W. Dondl - A. Lemenant - S. Wojtowytsch (Accepted Paper: Arch Rational Mech Anal)
  Phase field models for thin elastic structures with topological constraint (2016)
• A. Daniilidis - G. David - E. Durand-Cartagena - A. Lemenant (Journal of Geometric Analysis)
  Rectifiability of Self-contracted curves in the euclidean space and applications (2015)
• J. F. Babadjian - A. Chambolle - A. Lemenant (Preprint)
  Energy release rate for non smooth cracks in planar elasticity (2014)
• A. Lemenant - F. Santambrogio (Comptes Rendus Mathematique)
  A Modica-Mortola approximation for the Steiner Problem (2014)
• A. Lemenant (review paper)
  A selective review on Mumford-Shah minimizers (2014)
• A. Lemenant (Accepted Paper: Journal de math. pures et appliquées)
  A rigidity result for global Mumford-Shah minimizers in dimension three (2014)
• M. Bonnivard - A. Lemenant - F. Santambrogio (Accepted Paper: SIAM Journal on Mathematical Analysis)
  Approximation of length minimization problems among compact connected sets. (2014)
• T. De Pauw - A. Lemenant - V. Millot (Submitted Paper)
  On sets minimizing their weighted length in uniformly convex separable Banach spaces (2013)
• A. Chambolle - A. Lemenant (Calc. Var. PDE)
  The stress intensity factor for non-smooth fractures in antiplane elasticity (2013)
• A. Lemenant - E. Milakis - L. V. Spinolo (J. Funct. Anal.)
  Spectral Stability Estimates for the Dirichlet and Neumann Laplacian in rough domains (2013)
• A. Lemenant - Y. Sire (Preprint)
  Boundary regularity for the Poisson equation in reifenberg-flat domains (2012)
• A. Lemenant - E. Milakis - L. V. Spinolo (Annales Academiae Scientiarum Fennicae Mathematica)
  On the extension property of Reifenberg-flat domains (2012)
• A. Lemenant - E. Mainini (Accepted Paper: ESAIM: COCV)
  On convex sets that minimize the average distance (2011)
• A. Lemenant (Journal of convex analysis )
  About the regularity of average distance minimizers in R^2 (2011)
• A. Lemenant - E. Milakis (Publ. Mat.)
  A stability result for nonlinear Neumann problems in Reifenberg flat domains in $\mathbb R^N$. (2011)
• A. Lemenant (review paper: Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) )
  A presentation of the average distance minimizing problem (2011)
• E. Durand-Cartagena - A. Lemenant (Ann. Ac. Sci. Fen. Math. )
  Some Stability results under domain variation for Neumann problems in metric spaces (2010)
• A. Lemenant - E. Milakis (J. Math. Anal. Appl.)
  Quantitative stability for the first Dirichlet eigenvalue in Reifenberg flat domains in R^N (2010)
• P. Álvarez-Caudevilla - A. Lemenant (Adv. in Diff. Eq.)
  Asymptotic analysis for some linear eigenvalue problems via Gamma-Convergence (2010)
• L. Ambrosio - A. Lemenant - G. Royer Carfagni (Journal of Elasticity)
  A variational model for plastic slip and its regularization via Gamma-convergence. (2010)

Seminars:

• 7 sep 2021: Regularity of minimizers of the Griffith functional in 2d - (online)
• 1 apr 2009: On the regularity of Mumford-Shah minimizers in dimension 3

Speaker:

• 24 jun 2024 - 28 jun 2024: Calculus of Variations in Lille - 4th edition
• 19 jun 2023 - 21 jun 2023: Calculus of Variations and Applications
• 13 jun 2022 - 17 jun 2022: Shape Optimization, related topics and applications
• 6 sep 2021 - 10 sep 2021: Variational methods and applications
• 7 oct 2013 - 11 oct 2013: ERC-Workshop on Geometric Measure Theory, Analysis in Metric Spaces and Real Analysis

Organizer:

• 28 jun 2023 - 30 jun 2023: Geometrical trends in Applied Analysis
• 25 jun 2018 - 27 jun 2018: Calculus of Variations at Paris-Diderot